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P and Q are points on the sides and respectively of a triangle
MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles
Problem
P and Q are points on the sides
A
B
AB
A
B
and
A
C
AC
A
C
respectively of a triangle
△
A
B
C
\triangle ABC
△
A
B
C
. If
A
P
=
2
cm
AP = 2\ \text{cm}
A
P
=
2
cm
,
P
B
=
4
cm
PB = 4\ \text{cm}
P
B
=
4
cm
,
A
Q
=
3
cm
AQ = 3\ \text{cm}
A
Q
=
3
cm
,
Q
C
=
6
cm
QC = 6\ \text{cm}
QC
=
6
cm
, prove that
B
C
=
3
P
Q
BC = 3PQ
B
C
=
3
P
Q
.
Related theory
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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